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Finding the Fourth Proportional to 7,271.60, 10,029.12 and 6,155.60

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Solution

The fourth proportional to 7,271.60, 10,029.12 and 6,155.60 is: 8,489.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,271.60 : 10,029.12 = 6,155.60 : x
  2. Step 2: Convert to fraction form
    7,271.60/10,029.12 = 6,155.60/x
  3. Step 3: Cross multiply
    7,271.60x = 10,029.12 × 6,155.60
  4. Step 4: Simplify right side
    7,271.60x = 61,735,251.07
  5. Step 5: Solve for x
    x = 61,735,251.07/7,271.60
  6. Step 6: Final answer
    x = 8,489.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.